Structure of the (Total) Transformation Monoids Under Rank N Generators [version 2; peer review: 2 approved] [PDF]
F1000ResearchThroughout this paper our study focuses on transformation semigroups. These kinds of semigroups are the corner stone of semigroup theory. This is because every semigroup is isomorphic to transformation semigroup.
Asawer Al-Aadhami, Hala M. Sulaiman
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On transformation semigroups which are ℬ𝒬-semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 A semigroup whose bi-ideals and quasi-ideals coincide is called a ℬ𝒬-semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X)
S. Nenthein, Y. Kemprasit
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Codecomposition of a Transformation Semigroup [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sabbaghan, M. +2 more
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Semigroup-theoretic analysis of supply-chain disruptions and resilience. [PDF]
PLoS ONEThis paper develops a rigorous framework using finite transformation semigroups to model supply-chain state evolution under cascading disruptions and resilience interventions.
Job Agba Opue +3 more
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Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes [PDF]
Heliyon, 2023 Let T(X) be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of T(X) with connection sets L and R, the Green's equivalence classes of T(X) according to the Green's relations L and R, are investigated. Furthermore,
Nuttawoot Nupo, Yanisa Chaiya
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TRANSFORMATION SEMIGROUPS AND TRANSFORMED DIMENSIONS [PDF]
Journal of Sciences, Islamic Republic of Iran, 2001 In the transformation semigroup (X, S) we introduce the height of a closed nonempty invariant subset of X, define the transformed dimension of nonempty subset S of X and obtain some results and relations.
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Action graph of a semigroup act & its functorial connection [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper we define C-induced action graph G(S,a,C;A) corresponding to a semigroup act (S,a,A) and a subset C of S. This generalizes many interesting graphs including Cayley Graph of groups and semigroups, Transformation Graphs (TRAG), Group Action ...
Promit Mukherjee +2 more
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Enumerating transformation semigroups [PDF]
Semigroup Forum, 2017 11 pages, 6 figures, 3 tables, v4: updated references,added T4 gap values, corrections in ...
East, James (R16839) +2 more
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The complexity of properties of transformation semigroups [PDF]
International Journal of Algebra and Computation, 2019 We investigate the computational complexity for determining various properties of a finite transformation semigroup given by generators. We introduce a simple framework to describe transformation semigroup properties that are decidable in [Formula: see text].
Lukas Fleischer, Trevor Jack
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Regularity of Semigroups of Transformations Whose Characters Form the Semigroup of a Δ-Structure
International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we make use of the notion of the character of a transformation on a fixed set X, provided by Purisang and Rakbud in 2016, and the notion of a Δ-structure on X, provided by Magill Jr.
Jittisak Rakbud, Malinee Chaiya
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